3y+14=7y-2

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Solution for 3y+14=7y-2 equation:


Simplifying
3y + 14 = 7y + -2

Reorder the terms:
14 + 3y = 7y + -2

Reorder the terms:
14 + 3y = -2 + 7y

Solving
14 + 3y = -2 + 7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7y' to each side of the equation.
14 + 3y + -7y = -2 + 7y + -7y

Combine like terms: 3y + -7y = -4y
14 + -4y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
14 + -4y = -2 + 0
14 + -4y = -2

Add '-14' to each side of the equation.
14 + -14 + -4y = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -4y = -2 + -14
-4y = -2 + -14

Combine like terms: -2 + -14 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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